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Finding the Fourth Proportional to 70.42, 105.64 and 24.77

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Solution

The fourth proportional to 70.42, 105.64 and 24.77 is: 37.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.42 : 105.64 = 24.77 : x
  2. Step 2: Convert to fraction form
    70.42/105.64 = 24.77/x
  3. Step 3: Cross multiply
    70.42x = 105.64 × 24.77
  4. Step 4: Simplify right side
    70.42x = 2,616.90
  5. Step 5: Solve for x
    x = 2,616.90/70.42
  6. Step 6: Final answer
    x = 37.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.